Cisol := [C0 = 1/2*(nu-1)^2*(2916*S1^3*S3^2*nu^10*w^2+2916*S1^2*S3^3*nu^10*w^2+
5832*P1^2*S1*S3^2*nu^10*w+5832*P1^2*S3^3*nu^10*w-8748*P1*P3*S1^2*S3*nu^10*w-\
8748*P1*P3*S1*S3^2*nu^10*w+1944*P1*S1^2*S3^2*nu^10*w-2916*P1*S1^2*S3*nu^10*w^2+
1944*P1*S1*S3^3*nu^10*w-8748*P1*S1*S3^2*nu^10*w^2-8748*P1*S3^3*nu^10*w^2+5832*
P3^2*S1^3*nu^10*w+5832*P3^2*S1^2*S3*nu^10*w+1944*P3*S1^3*S3*nu^10*w-8748*P3*S1^
3*nu^10*w^2+1944*P3*S1^2*S3^2*nu^10*w-8748*P3*S1^2*S3*nu^10*w^2-2916*P3*S1*S3^2
*nu^10*w^2-1944*S1^3*S3^2*nu^10*w-5832*S1^3*S3^2*nu^9*w^2+2916*S1^3*nu^10*w^3-\
1944*S1^2*S3^3*nu^10*w-5832*S1^2*S3^3*nu^9*w^2+4050*S1^2*S3^2*nu^10*w^2+2916*S1
^2*S3*nu^10*w^3+2916*S1*S3^2*nu^10*w^3-5832*S1*S3*nu^10*w^4+2916*S3^3*nu^10*w^3
+29160*P1^2*P3^2*S1*nu^10+29160*P1^2*P3^2*S3*nu^10+15552*P1^2*P3*S1*S3*nu^10-\
20412*P1^2*P3*S1*nu^10*w+15552*P1^2*P3*S3^2*nu^10-11664*P1^2*P3*S3*nu^10*w-1944
*P1^2*S1*S3^2*nu^10-5832*P1^2*S1*S3^2*nu^9*w+1944*P1^2*S1*S3*nu^10*w+2916*P1^2*
S1*nu^10*w^2-1944*P1^2*S3^3*nu^10-5832*P1^2*S3^3*nu^9*w+8100*P1^2*S3^2*nu^10*w+
5832*P1^2*S3*nu^10*w^2+15552*P1*P3^2*S1^2*nu^10+15552*P1*P3^2*S1*S3*nu^10-11664
*P1*P3^2*S1*nu^10*w-20412*P1*P3^2*S3*nu^10*w+8100*P1*P3*S1^2*S3*nu^10+8748*P1*
P3*S1^2*S3*nu^9*w-15552*P1*P3*S1^2*nu^10*w+8100*P1*P3*S1*S3^2*nu^10+8748*P1*P3*
S1*S3^2*nu^9*w-31590*P1*P3*S1*S3*nu^10*w+17496*P1*P3*S1*nu^10*w^2-15552*P1*P3*
S3^2*nu^10*w+17496*P1*P3*S3*nu^10*w^2+29160*P1*P3*nu^10*w^3-648*P1*S1^2*S3^2*nu
^10-4374*P1*S1^2*S3^2*nu^9*w+1944*P1*S1^2*S3*nu^10*w+5832*P1*S1^2*S3*nu^9*w^2-\
648*P1*S1*S3^3*nu^10-4374*P1*S1*S3^3*nu^9*w+8532*P1*S1*S3^2*nu^10*w+17496*P1*S1
*S3^2*nu^9*w^2-4050*P1*S1*S3*nu^10*w^2-5832*P1*S1*nu^10*w^3+5832*P1*S3^3*nu^10*
w+17496*P1*S3^3*nu^9*w^2-12150*P1*S3^2*nu^10*w^2-12636*P1*S3*nu^10*w^3-5832*P1*
nu^10*w^4-1944*P3^2*S1^3*nu^10-5832*P3^2*S1^3*nu^9*w-1944*P3^2*S1^2*S3*nu^10-\
5832*P3^2*S1^2*S3*nu^9*w+8100*P3^2*S1^2*nu^10*w+1944*P3^2*S1*S3*nu^10*w+5832*P3
^2*S1*nu^10*w^2+2916*P3^2*S3*nu^10*w^2-648*P3*S1^3*S3*nu^10-4374*P3*S1^3*S3*nu^
9*w+5832*P3*S1^3*nu^10*w+17496*P3*S1^3*nu^9*w^2-648*P3*S1^2*S3^2*nu^10-4374*P3*
S1^2*S3^2*nu^9*w+8532*P3*S1^2*S3*nu^10*w+17496*P3*S1^2*S3*nu^9*w^2-12150*P3*S1^
2*nu^10*w^2+1944*P3*S1*S3^2*nu^10*w+5832*P3*S1*S3^2*nu^9*w^2-4050*P3*S1*S3*nu^
10*w^2-12636*P3*S1*nu^10*w^3-5832*P3*S3*nu^10*w^3-5832*P3*nu^10*w^4+324*S1^3*S3
^2*nu^10+5832*S1^3*S3^2*nu^9*w+2916*S1^3*S3^2*nu^8*w^2-2916*S1^3*nu^10*w^2-8748
*S1^3*nu^9*w^3+324*S1^2*S3^3*nu^10+5832*S1^2*S3^3*nu^9*w+2916*S1^2*S3^3*nu^8*w^
2-2700*S1^2*S3^2*nu^10*w-7452*S1^2*S3^2*nu^9*w^2-2916*S1^2*S3*nu^10*w^2-8748*S1
^2*S3*nu^9*w^3+4050*S1^2*nu^10*w^3-2916*S1*S3^2*nu^10*w^2-8748*S1*S3^2*nu^9*w^3
-1458*S1*S3*nu^10*w^3+11664*S1*S3*nu^9*w^4+2916*S1*nu^10*w^4-2916*S3^3*nu^10*w^
2-8748*S3^3*nu^9*w^3+4050*S3^2*nu^10*w^3+2916*S3*nu^10*w^4+5832*nu^10*w^5+24948
*P1^2*P3^2*nu^10-19440*P1^2*P3*S1*S3*nu^9+11988*P1^2*P3*S1*nu^10+20412*P1^2*P3*
S1*nu^9*w-19440*P1^2*P3*S3^2*nu^9+25488*P1^2*P3*S3*nu^10+11664*P1^2*P3*S3*nu^9*
w-12798*P1^2*P3*nu^10*w+3888*P1^2*S1*S3^2*nu^9-648*P1^2*S1*S3*nu^10-4374*P1^2*
S1*S3*nu^9*w-1944*P1^2*S1*nu^10*w-5832*P1^2*S1*nu^9*w^2+3888*P1^2*S3^3*nu^9-\
2700*P1^2*S3^2*nu^10-6804*P1^2*S3^2*nu^9*w-1188*P1^2*S3*nu^10*w-11664*P1^2*S3*
nu^9*w^2+4050*P1^2*nu^10*w^2-19440*P1*P3^2*S1^2*nu^9-19440*P1*P3^2*S1*S3*nu^9+
25488*P1*P3^2*S1*nu^10+11664*P1*P3^2*S1*nu^9*w+11988*P1*P3^2*S3*nu^10+20412*P1*
P3^2*S3*nu^9*w-12798*P1*P3^2*nu^10*w-18792*P1*P3*S1^2*S3*nu^9+5184*P1*P3*S1^2*
nu^10+34992*P1*P3*S1^2*nu^9*w-18792*P1*P3*S1*S3^2*nu^9+17730*P1*P3*S1*S3*nu^10+
53946*P1*P3*S1*S3*nu^9*w-33264*P1*P3*S1*nu^10*w-34992*P1*P3*S1*nu^9*w^2+5184*P1
*P3*S3^2*nu^10+34992*P1*P3*S3^2*nu^9*w-33264*P1*P3*S3*nu^10*w-34992*P1*P3*S3*nu
^9*w^2+27540*P1*P3*nu^10*w^2-29160*P1*P3*nu^9*w^3+2106*P1*S1^2*S3^2*nu^9+2916*
P1*S1^2*S3^2*nu^8*w-324*P1*S1^2*S3*nu^10-5832*P1*S1^2*S3*nu^9*w-2916*P1*S1^2*S3
*nu^8*w^2+2106*P1*S1*S3^3*nu^9+2916*P1*S1*S3^3*nu^8*w-1872*P1*S1*S3^2*nu^10-\
23139*P1*S1*S3^2*nu^9*w-8748*P1*S1*S3^2*nu^8*w^2+2700*P1*S1*S3*nu^10*w+7452*P1*
S1*S3*nu^9*w^2+5832*P1*S1*nu^10*w^2+17496*P1*S1*nu^9*w^3-972*P1*S3^3*nu^10-\
17496*P1*S3^3*nu^9*w-8748*P1*S3^3*nu^8*w^2+8100*P1*S3^2*nu^10*w+22356*P1*S3^2*
nu^9*w^2+12636*P1*S3*nu^10*w^2+52488*P1*S3*nu^9*w^3-9558*P1*nu^10*w^3+11664*P1*
nu^9*w^4+3888*P3^2*S1^3*nu^9+3888*P3^2*S1^2*S3*nu^9-2700*P3^2*S1^2*nu^10-6804*
P3^2*S1^2*nu^9*w-648*P3^2*S1*S3*nu^10-4374*P3^2*S1*S3*nu^9*w-1188*P3^2*S1*nu^10
*w-11664*P3^2*S1*nu^9*w^2-1944*P3^2*S3*nu^10*w-5832*P3^2*S3*nu^9*w^2+4050*P3^2*
nu^10*w^2+2106*P3*S1^3*S3*nu^9+2916*P3*S1^3*S3*nu^8*w-972*P3*S1^3*nu^10-17496*
P3*S1^3*nu^9*w-8748*P3*S1^3*nu^8*w^2+2106*P3*S1^2*S3^2*nu^9+2916*P3*S1^2*S3^2*
nu^8*w-1872*P3*S1^2*S3*nu^10-23139*P3*S1^2*S3*nu^9*w-8748*P3*S1^2*S3*nu^8*w^2+
8100*P3*S1^2*nu^10*w+22356*P3*S1^2*nu^9*w^2-324*P3*S1*S3^2*nu^10-5832*P3*S1*S3^
2*nu^9*w-2916*P3*S1*S3^2*nu^8*w^2+2700*P3*S1*S3*nu^10*w+7452*P3*S1*S3*nu^9*w^2+
12636*P3*S1*nu^10*w^2+52488*P3*S1*nu^9*w^3+5832*P3*S3*nu^10*w^2+17496*P3*S3*nu^
9*w^3-9558*P3*nu^10*w^3+11664*P3*nu^9*w^4-1296*S1^3*S3^2*nu^9-5832*S1^3*S3^2*nu
^8*w+972*S1^3*nu^10*w+11664*S1^3*nu^9*w^2+8748*S1^3*nu^8*w^3-1296*S1^2*S3^3*nu^
9-5832*S1^2*S3^3*nu^8*w+450*S1^2*S3^2*nu^10+7668*S1^2*S3^2*nu^9*w-486*S1^2*S3^2
*nu^8*w^2+972*S1^2*S3*nu^10*w+11664*S1^2*S3*nu^9*w^2+8748*S1^2*S3*nu^8*w^3-4050
*S1^2*nu^10*w^2-11502*S1^2*nu^9*w^3+972*S1*S3^2*nu^10*w+11664*S1*S3^2*nu^9*w^2+
8748*S1*S3^2*nu^8*w^3+5346*S1*S3*nu^10*w^2+17982*S1*S3*nu^9*w^3-5832*S1*S3*nu^8
*w^4-8316*S1*nu^10*w^3-20412*S1*nu^9*w^4+972*S3^3*nu^10*w+11664*S3^3*nu^9*w^2+
8748*S3^3*nu^8*w^3-4050*S3^2*nu^10*w^2-11502*S3^2*nu^9*w^3-8316*S3*nu^10*w^3-\
20412*S3*nu^9*w^4+3564*nu^10*w^4-17496*nu^9*w^5+25920*P1^2*P3^2*nu^9+3888*P1^2*
P3*S1*S3*nu^8-26568*P1^2*P3*S1*nu^9+3888*P1^2*P3*S3^2*nu^8-31320*P1^2*P3*S3*nu^
9+11466*P1^2*P3*nu^10-11178*P1^2*P3*nu^9*w-1944*P1^2*S1*S3^2*nu^8+2106*P1^2*S1*
S3*nu^9+2916*P1^2*S1*S3*nu^8*w+324*P1^2*S1*nu^10+5832*P1^2*S1*nu^9*w+2916*P1^2*
S1*nu^8*w^2-1944*P1^2*S3^3*nu^8+4968*P1^2*S3^2*nu^9-7776*P1^2*S3^2*nu^8*w-252*
P1^2*S3*nu^10+6021*P1^2*S3*nu^9*w+5832*P1^2*S3*nu^8*w^2-2700*P1^2*nu^10*w-7452*
P1^2*nu^9*w^2+3888*P1*P3^2*S1^2*nu^8+3888*P1*P3^2*S1*S3*nu^8-31320*P1*P3^2*S1*
nu^9-26568*P1*P3^2*S3*nu^9+11466*P1*P3^2*nu^10-11178*P1*P3^2*nu^9*w+13608*P1*P3
*S1^2*S3*nu^8-16848*P1*P3*S1^2*nu^9-23328*P1*P3*S1^2*nu^8*w+13608*P1*P3*S1*S3^2
*nu^8-45360*P1*P3*S1*S3*nu^9-17496*P1*P3*S1*S3*nu^8*w+9144*P1*P3*S1*nu^10+80136
*P1*P3*S1*nu^9*w+17496*P1*P3*S1*nu^8*w^2-16848*P1*P3*S3^2*nu^9-23328*P1*P3*S3^2
*nu^8*w+9144*P1*P3*S3*nu^10+80136*P1*P3*S3*nu^9*w+17496*P1*P3*S3*nu^8*w^2-28080
*P1*P3*nu^10*w-46008*P1*P3*nu^9*w^2-2430*P1*S1^2*S3^2*nu^8-486*P1*S1^2*S3^2*nu^
7*w+1296*P1*S1^2*S3*nu^9+5832*P1*S1^2*S3*nu^8*w-2430*P1*S1*S3^3*nu^8-486*P1*S1*
S3^3*nu^7*w+6669*P1*S1*S3^2*nu^9+18414*P1*S1*S3^2*nu^8*w-450*P1*S1*S3*nu^10-\
7668*P1*S1*S3*nu^9*w+486*P1*S1*S3*nu^8*w^2-1944*P1*S1*nu^10*w-23328*P1*S1*nu^9*
w^2-17496*P1*S1*nu^8*w^3+3888*P1*S3^3*nu^9+17496*P1*S3^3*nu^8*w-1350*P1*S3^2*nu
^10-23004*P1*S3^2*nu^9*w+1458*P1*S3^2*nu^8*w^2-4212*P1*S3*nu^10*w-65124*P1*S3*
nu^9*w^2-67068*P1*S3*nu^8*w^3+13446*P1*nu^10*w^2+40986*P1*nu^9*w^3-5832*P1*nu^8
*w^4-1944*P3^2*S1^3*nu^8-1944*P3^2*S1^2*S3*nu^8+4968*P3^2*S1^2*nu^9-7776*P3^2*
S1^2*nu^8*w+2106*P3^2*S1*S3*nu^9+2916*P3^2*S1*S3*nu^8*w-252*P3^2*S1*nu^10+6021*
P3^2*S1*nu^9*w+5832*P3^2*S1*nu^8*w^2+324*P3^2*S3*nu^10+5832*P3^2*S3*nu^9*w+2916
*P3^2*S3*nu^8*w^2-2700*P3^2*nu^10*w-7452*P3^2*nu^9*w^2-2430*P3*S1^3*S3*nu^8-486
*P3*S1^3*S3*nu^7*w+3888*P3*S1^3*nu^9+17496*P3*S1^3*nu^8*w-2430*P3*S1^2*S3^2*nu^
8-486*P3*S1^2*S3^2*nu^7*w+6669*P3*S1^2*S3*nu^9+18414*P3*S1^2*S3*nu^8*w-1350*P3*
S1^2*nu^10-23004*P3*S1^2*nu^9*w+1458*P3*S1^2*nu^8*w^2+1296*P3*S1*S3^2*nu^9+5832
*P3*S1*S3^2*nu^8*w-450*P3*S1*S3*nu^10-7668*P3*S1*S3*nu^9*w+486*P3*S1*S3*nu^8*w^
2-4212*P3*S1*nu^10*w-65124*P3*S1*nu^9*w^2-67068*P3*S1*nu^8*w^3-1944*P3*S3*nu^10
*w-23328*P3*S3*nu^9*w^2-17496*P3*S3*nu^8*w^3+13446*P3*nu^10*w^2+40986*P3*nu^9*w
^3-5832*P3*nu^8*w^4+1944*S1^3*S3^2*nu^8+1944*S1^3*S3^2*nu^7*w-108*S1^3*nu^10-\
4860*S1^3*nu^9*w-17496*S1^3*nu^8*w^2-2916*S1^3*nu^7*w^3+1944*S1^2*S3^3*nu^8+
1944*S1^2*S3^3*nu^7*w-1728*S1^2*S3^2*nu^9-4644*S1^2*S3^2*nu^8*w+7128*S1^2*S3^2*
nu^7*w^2-108*S1^2*S3*nu^10-4860*S1^2*S3*nu^9*w-17496*S1^2*S3*nu^8*w^2-2916*S1^2
*S3*nu^7*w^3+1350*S1^2*nu^10*w+15552*S1^2*nu^9*w^2+6966*S1^2*nu^8*w^3-108*S1*S3
^2*nu^10-4860*S1*S3^2*nu^9*w-17496*S1*S3^2*nu^8*w^2-2916*S1*S3^2*nu^7*w^3-2214*
S1*S3*nu^10*w-34992*S1*S3*nu^9*w^2-45198*S1*S3*nu^8*w^3+6372*S1*nu^10*w^2+54243
*S1*nu^9*w^3+43740*S1*nu^8*w^4-108*S3^3*nu^10-4860*S3^3*nu^9*w-17496*S3^3*nu^8*
w^2-2916*S3^3*nu^7*w^3+1350*S3^2*nu^10*w+15552*S3^2*nu^9*w^2+6966*S3^2*nu^8*w^3
+6372*S3*nu^10*w^2+54243*S3*nu^9*w^3+43740*S3*nu^8*w^4-11232*nu^10*w^3-27216*nu
^9*w^4+17496*nu^8*w^5-36288*P1^2*P3^2*nu^8+17496*P1^2*P3*S1*nu^8-12312*P1^2*P3*
S3*nu^8-17388*P1^2*P3*nu^9+50544*P1^2*P3*nu^8*w-2430*P1^2*S1*S3*nu^8-486*P1^2*
S1*S3*nu^7*w-1296*P1^2*S1*nu^9-5832*P1^2*S1*nu^8*w+324*P1^2*S3^2*nu^8+6480*P1^2
*S3^2*nu^7*w+189*P1^2*S3*nu^9-10746*P1^2*S3*nu^8*w+450*P1^2*nu^10+7668*P1^2*nu^
9*w-486*P1^2*nu^8*w^2-12312*P1*P3^2*S1*nu^8+17496*P1*P3^2*S3*nu^8-17388*P1*P3^2
*nu^9+50544*P1*P3^2*nu^8*w-3240*P1*P3*S1^2*S3*nu^7+19440*P1*P3*S1^2*nu^8+3888*
P1*P3*S1^2*nu^7*w-3240*P1*P3*S1*S3^2*nu^7+30024*P1*P3*S1*S3*nu^8-4860*P1*P3*S1*
S3*nu^7*w-30024*P1*P3*S1*nu^9-42336*P1*P3*S1*nu^8*w+19440*P1*P3*S3^2*nu^8+3888*
P1*P3*S3^2*nu^7*w-30024*P1*P3*S3*nu^9-42336*P1*P3*S3*nu^8*w+5220*P1*P3*nu^10+
78192*P1*P3*nu^9*w-35964*P1*P3*nu^8*w^2+1134*P1*S1^2*S3^2*nu^7-1944*P1*S1^2*S3*
nu^8-1944*P1*S1^2*S3*nu^7*w+1134*P1*S1*S3^3*nu^7-8019*P1*S1*S3^2*nu^8-999*P1*S1
*S3^2*nu^7*w+1728*P1*S1*S3*nu^9+4644*P1*S1*S3*nu^8*w-7128*P1*S1*S3*nu^7*w^2+216
*P1*S1*nu^10+9720*P1*S1*nu^9*w+34992*P1*S1*nu^8*w^2+5832*P1*S1*nu^7*w^3-5832*P1
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+16848*P3*S1*nu^10*w^2+7776*P3*S3*nu^10*w^2+7776*P3*nu^10*w^3-4212*S1^3*S3^2*nu
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-432*S1^3*nu^10-11016*S1^3*nu^9*w-14580*S1^3*nu^8*w^2+4860*S1^2*S3^3*nu^8+972*
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6804*S1*S3^2*nu^7*w^2+1080*S1*S3*nu^10+35964*S1*S3*nu^9*w+75978*S1*S3*nu^8*w^2-\
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3+13608*nu^7*w^4+5616*P1^2*P3*nu^7-162*P1^2*S1*S3*nu^6-2268*P1^2*S1*nu^7+2160*
P1^2*S3^2*nu^6-10674*P1^2*S3*nu^7+4374*P1^2*nu^8-9666*P1^2*nu^7*w+5616*P1*P3^2*
nu^7+3564*P1*P3*S1*S3*nu^6-23112*P1*P3*S1*nu^7-23112*P1*P3*S3*nu^7+40176*P1*P3*
nu^8-6264*P1*P3*nu^7*w-324*P1*S1^2*S3*nu^6+5103*P1*S1*S3^2*nu^6-2610*P1*S1*S3*
nu^7-6696*P1*S1*S3*nu^6*w+9720*P1*S1*nu^8+28512*P1*S1*nu^7*w+1944*P1*S1*nu^6*w^
2-972*P1*S3^3*nu^6-7830*P1*S3^2*nu^7-20088*P1*S3^2*nu^6*w+30240*P1*S3*nu^8+
110376*P1*S3*nu^7*w+9072*P1*S3*nu^6*w^2-13794*P1*nu^9-130464*P1*nu^8*w-60318*P1
*nu^7*w^2+2160*P3^2*S1^2*nu^6-162*P3^2*S1*S3*nu^6-10674*P3^2*S1*nu^7-2268*P3^2*
S3*nu^7+4374*P3^2*nu^8-9666*P3^2*nu^7*w-972*P3*S1^3*nu^6+5103*P3*S1^2*S3*nu^6-\
7830*P3*S1^2*nu^7-20088*P3*S1^2*nu^6*w-324*P3*S1*S3^2*nu^6-2610*P3*S1*S3*nu^7-\
6696*P3*S1*S3*nu^6*w+30240*P3*S1*nu^8+110376*P3*S1*nu^7*w+9072*P3*S1*nu^6*w^2+
9720*P3*S3*nu^8+28512*P3*S3*nu^7*w+1944*P3*S3*nu^6*w^2-13794*P3*nu^9-130464*P3*
nu^8*w-60318*P3*nu^7*w^2+5400*S1^3*nu^7+5184*S1^3*nu^6*w-5454*S1^2*S3^2*nu^6-\
1080*S1^2*S3^2*nu^5*w+5400*S1^2*S3*nu^7+5184*S1^2*S3*nu^6*w-5766*S1^2*nu^8-3528
*S1^2*nu^7*w+16362*S1^2*nu^6*w^2+5400*S1*S3^2*nu^7+5184*S1*S3^2*nu^6*w+22734*S1
*S3*nu^8+115560*S1*S3*nu^7*w+32886*S1*S3*nu^6*w^2-6380*S1*nu^9-111402*S1*nu^8*w
-213012*S1*nu^7*w^2-28188*S1*nu^6*w^3+5400*S3^3*nu^7+5184*S3^3*nu^6*w-5766*S3^2
*nu^8-3528*S3^2*nu^7*w+16362*S3^2*nu^6*w^2-6380*S3*nu^9-111402*S3*nu^8*w-213012
*S3*nu^7*w^2-28188*S3*nu^6*w^3+560*nu^10+35460*nu^9*w+227340*nu^8*w^2+142992*nu
^7*w^3-1944*nu^6*w^4-1080*P1^2*P3*nu^6+324*P1^2*S1*nu^6+6723*P1^2*S3*nu^6+2610*
P1^2*nu^7+6696*P1^2*nu^6*w-1080*P1*P3^2*nu^6+6264*P1*P3*S1*nu^6+6264*P1*P3*S3*
nu^6-7920*P1*P3*nu^7+26784*P1*P3*nu^6*w-1836*P1*S1*S3^2*nu^5+5454*P1*S1*S3*nu^6
+1080*P1*S1*S3*nu^5*w-10800*P1*S1*nu^7-10368*P1*S1*nu^6*w+16362*P1*S3^2*nu^6+
3240*P1*S3^2*nu^5*w-38520*P1*S3*nu^7-45144*P1*S3*nu^6*w+34266*P1*nu^8+122616*P1
*nu^7*w+162*P1*nu^6*w^2+6723*P3^2*S1*nu^6+324*P3^2*S3*nu^6+2610*P3^2*nu^7+6696*
P3^2*nu^6*w-1836*P3*S1^2*S3*nu^5+16362*P3*S1^2*nu^6+3240*P3*S1^2*nu^5*w+5454*P3
*S1*S3*nu^6+1080*P3*S1*S3*nu^5*w-38520*P3*S1*nu^7-45144*P3*S1*nu^6*w-10800*P3*
S3*nu^7-10368*P3*S3*nu^6*w+34266*P3*nu^8+122616*P3*nu^7*w+162*P3*nu^6*w^2-3240*
S1^3*nu^6-648*S1^3*nu^5*w+2592*S1^2*S3^2*nu^5-3240*S1^2*S3*nu^6-648*S1^2*S3*nu^
5*w+3900*S1^2*nu^7-16128*S1^2*nu^6*w-7776*S1^2*nu^5*w^2-3240*S1*S3^2*nu^6-648*
S1*S3^2*nu^5*w-36180*S1*S3*nu^7-77760*S1*S3*nu^6*w-4536*S1*S3*nu^5*w^2+21825*S1
*nu^8+177750*S1*nu^7*w+143388*S1*nu^6*w^2+3888*S1*nu^5*w^3-3240*S3^3*nu^6-648*
S3^3*nu^5*w+3900*S3^2*nu^7-16128*S3^2*nu^6*w-7776*S3^2*nu^5*w^2+21825*S3*nu^8+
177750*S3*nu^7*w+143388*S3*nu^6*w^2+3888*S3*nu^5*w^3-4700*nu^9-112968*nu^8*w-\
328320*nu^7*w^2-79488*nu^6*w^3-1836*P1^2*S3*nu^5-5454*P1^2*nu^6-1080*P1^2*nu^5*
w-16416*P1*P3*nu^6-4320*P1*P3*nu^5*w+180*P1*S1*S3^2*nu^4-2592*P1*S1*S3*nu^5+
6480*P1*S1*nu^6+1296*P1*S1*nu^5*w-7776*P1*S3^2*nu^5+25920*P1*S3*nu^6+6048*P1*S3
*nu^5*w-43980*P1*nu^7-45504*P1*nu^6*w+11016*P1*nu^5*w^2-1836*P3^2*S1*nu^5-5454*
P3^2*nu^6-1080*P3^2*nu^5*w+180*P3*S1^2*S3*nu^4-7776*P3*S1^2*nu^5-2592*P3*S1*S3*
nu^5+25920*P3*S1*nu^6+6048*P3*S1*nu^5*w+6480*P3*S3*nu^6+1296*P3*S3*nu^5*w-43980
*P3*nu^7-45504*P3*nu^6*w+11016*P3*nu^5*w^2+972*S1^3*nu^5-360*S1^2*S3^2*nu^4+972
*S1^2*S3*nu^5+2100*S1^2*nu^6+16092*S1^2*nu^5*w+1080*S1^2*nu^4*w^2+972*S1*S3^2*
nu^5+33300*S1*S3*nu^6+25596*S1*S3*nu^5*w-41730*S1*nu^7-163080*S1*nu^6*w-45504*
S1*nu^5*w^2+972*S3^3*nu^5+2100*S3^2*nu^6+16092*S3^2*nu^5*w+1080*S3^2*nu^4*w^2-\
41730*S3*nu^7-163080*S3*nu^6*w-45504*S3*nu^5*w^2+17220*nu^8+198900*nu^7*w+
261360*nu^6*w^2+12636*nu^5*w^3+180*P1^2*S3*nu^4+2592*P1^2*nu^5+10368*P1*P3*nu^5
+360*P1*S1*S3*nu^4-1944*P1*S1*nu^5+1080*P1*S3^2*nu^4-8532*P1*S3*nu^5+29100*P1*
nu^6-6588*P1*nu^5*w-2160*P1*nu^4*w^2+180*P3^2*S1*nu^4+2592*P3^2*nu^5+1080*P3*S1
^2*nu^4+360*P3*S1*S3*nu^4-8532*P3*S1*nu^5-1944*P3*S3*nu^5+29100*P3*nu^6-6588*P3
*nu^5*w-2160*P3*nu^4*w^2-108*S1^3*nu^4-108*S1^2*S3*nu^4-5370*S1^2*nu^5-5904*S1^
2*nu^4*w-108*S1*S3^2*nu^4-17550*S1*S3*nu^5-3024*S1*S3*nu^4*w+48525*S1*nu^6+
84132*S1*nu^5*w+3717*S1*nu^4*w^2-108*S3^3*nu^4-5370*S3^2*nu^5-5904*S3^2*nu^4*w+
48525*S3*nu^6+84132*S3*nu^5*w+3717*S3*nu^4*w^2-35940*nu^7-208080*nu^6*w-103788*
nu^5*w^2+4320*nu^4*w^3-360*P1^2*nu^4-1440*P1*P3*nu^4+216*P1*S1*nu^4+1008*P1*S3*
nu^4-6810*P1*nu^5+8784*P1*nu^4*w-360*P3^2*nu^4+1008*P3*S1*nu^4+216*P3*S3*nu^4-\
6810*P3*nu^5+8784*P3*nu^4*w+3666*S1^2*nu^4+720*S1^2*nu^3*w+4806*S1*S3*nu^4-\
34740*S1*nu^5-20826*S1*nu^4*w+720*S1*nu^3*w^2+3666*S3^2*nu^4+720*S3^2*nu^3*w-\
34740*S3*nu^5-20826*S3*nu^4*w+720*S3*nu^3*w^2+46620*nu^6+127332*nu^5*w+9612*nu^
4*w^2-1080*nu^3*w^3-2526*P1*nu^4-1440*P1*nu^3*w-2526*P3*nu^4-1440*P3*nu^3*w-\
1104*S1^2*nu^3-504*S1*S3*nu^3+14505*S1*nu^4+702*S1*nu^3*w-90*S1*nu^2*w^2-1104*
S3^2*nu^3+14505*S3*nu^4+702*S3*nu^3*w-90*S3*nu^2*w^2-38220*nu^5-39240*nu^4*w+
5400*nu^3*w^2+1704*P1*nu^3+1704*P3*nu^3+120*S1^2*nu^2-2850*S1*nu^3+540*S1*nu^2*
w+120*S3^2*nu^2-2850*S3*nu^3+540*S3*nu^2*w+18900*nu^4+1548*nu^3*w-1080*nu^2*w^2
-240*P1*nu^2-240*P3*nu^2-45*S1*nu^2-60*S1*nu*w-45*S3*nu^2-60*S3*nu*w-4620*nu^3+
2160*nu^2*w+100*S1*nu+100*S3*nu-60*nu^2-360*nu*w-10*S1-10*S3+280*nu-40)/(-108*
S1*S3*nu^6*w+540*P1*P3*nu^6+360*P1*S3*nu^6-108*P1*nu^6*w+360*P3*S1*nu^6-108*P3*
nu^6*w+228*S1*S3*nu^6+108*S1*S3*nu^5*w-216*S1*nu^6*w-216*S3*nu^6*w+108*nu^6*w^2
-450*P1*S3*nu^5+228*P1*nu^6+108*P1*nu^5*w-450*P3*S1*nu^5+228*P3*nu^6+108*P3*nu^
5*w-552*S1*S3*nu^5+136*S1*nu^6+486*S1*nu^5*w+136*S3*nu^6+486*S3*nu^5*w-264*nu^6
*w-216*nu^5*w^2+90*P1*S3*nu^4-552*P1*nu^5+90*P3*S1*nu^4-552*P3*nu^5+432*S1*S3*
nu^4-474*S1*nu^5-324*S1*nu^4*w-474*S3*nu^5-324*S3*nu^4*w+76*nu^6+888*nu^5*w+108
*nu^4*w^2+432*P1*nu^4+432*P3*nu^4-120*S1*S3*nu^3+618*S1*nu^4+54*S1*nu^3*w+618*
S3*nu^4+54*S3*nu^3*w-336*nu^5-1092*nu^4*w-120*P1*nu^3-120*P3*nu^3+12*S1*S3*nu^2
-371*S1*nu^3-371*S3*nu^3+588*nu^4+588*nu^3*w+12*P1*nu^2+12*P3*nu^2+105*S1*nu^2+
105*S3*nu^2-512*nu^3-132*nu^2*w-15*S1*nu-15*S3*nu+228*nu^2+12*nu*w+S1+S3-48*nu+
4), C2 = 3/2*(nu-1)^2*(-2916*S1^3*S3^2*nu^10*w-2916*S1^2*S3^3*nu^10*w+14580*P1*
P3*S1^2*S3*nu^10+14580*P1*P3*S1*S3^2*nu^10+9720*P1*S1^2*S3^2*nu^10-2916*P1*S1^2
*S3*nu^10*w+9720*P1*S1*S3^3*nu^10+2916*P1*S1*S3^2*nu^10*w+2916*P1*S3^3*nu^10*w+
9720*P3*S1^3*S3*nu^10+2916*P3*S1^3*nu^10*w+9720*P3*S1^2*S3^2*nu^10+2916*P3*S1^2
*S3*nu^10*w-2916*P3*S1*S3^2*nu^10*w+6156*S1^3*S3^2*nu^10+2916*S1^3*S3^2*nu^9*w-\
2916*S1^3*nu^10*w^2+6156*S1^2*S3^3*nu^10+2916*S1^2*S3^3*nu^9*w-4050*S1^2*S3^2*
nu^10*w-2916*S1^2*S3*nu^10*w^2-2916*S1*S3^2*nu^10*w^2+5832*S1*S3*nu^10*w^3-2916
*S3^3*nu^10*w^2+14580*P1^2*P3*S1*nu^10+9720*P1^2*S1*S3*nu^10-2916*P1^2*S1*nu^10
*w+14580*P1*P3^2*S3*nu^10+810*P1*P3*S1*S3*nu^10-5832*P1*P3*S1*nu^10*w-5832*P1*
P3*S3*nu^10*w-29160*P1*P3*nu^10*w^2-12150*P1*S1^2*S3^2*nu^9+6156*P1*S1^2*S3*nu^
10+2916*P1*S1^2*S3*nu^9*w-12150*P1*S1*S3^3*nu^9+7344*P1*S1*S3^2*nu^10-2916*P1*
S1*S3^2*nu^9*w-4050*P1*S1*S3*nu^10*w+5832*P1*S1*nu^10*w^2-6156*P1*S3^3*nu^10-\
2916*P1*S3^3*nu^9*w+4050*P1*S3^2*nu^10*w-16524*P1*S3*nu^10*w^2+5832*P1*nu^10*w^
3+9720*P3^2*S1*S3*nu^10-2916*P3^2*S3*nu^10*w-12150*P3*S1^3*S3*nu^9-6156*P3*S1^3
*nu^10-2916*P3*S1^3*nu^9*w-12150*P3*S1^2*S3^2*nu^9+7344*P3*S1^2*S3*nu^10-2916*
P3*S1^2*S3*nu^9*w+4050*P3*S1^2*nu^10*w+6156*P3*S1*S3^2*nu^10+2916*P3*S1*S3^2*nu
^9*w-4050*P3*S1*S3*nu^10*w-16524*P3*S1*nu^10*w^2+5832*P3*S3*nu^10*w^2+5832*P3*
nu^10*w^3-14904*S1^3*S3^2*nu^9+7128*S1^3*nu^10*w+5832*S1^3*nu^9*w^2-14904*S1^2*
S3^3*nu^9+8550*S1^2*S3^2*nu^10+3402*S1^2*S3^2*nu^9*w+7128*S1^2*S3*nu^10*w+5832*
S1^2*S3*nu^9*w^2-4050*S1^2*nu^10*w^2+7128*S1*S3^2*nu^10*w+5832*S1*S3^2*nu^9*w^2
-6966*S1*S3*nu^10*w^2-5832*S1*S3*nu^9*w^3-2916*S1*nu^10*w^3+7128*S3^3*nu^10*w+
5832*S3^3*nu^9*w^2-4050*S3^2*nu^10*w^2-2916*S3*nu^10*w^3-5832*nu^10*w^4+20250*
P1^2*P3*nu^10-12150*P1^2*S1*S3*nu^9+6156*P1^2*S1*nu^10+2916*P1^2*S1*nu^9*w+
13500*P1^2*S3*nu^10-4050*P1^2*nu^10*w+20250*P1*P3^2*nu^10+27540*P1*P3*S1*S3*nu^
9+12312*P1*P3*S1*nu^10+5832*P1*P3*S1*nu^9*w+12312*P1*P3*S3*nu^10+5832*P1*P3*S3*
nu^9*w-55080*P1*P3*nu^10*w+2430*P1*S1^2*S3^2*nu^8-14904*P1*S1^2*S3*nu^9+2430*P1
*S1*S3^3*nu^8+189*P1*S1*S3^2*nu^9+8550*P1*S1*S3*nu^10+3402*P1*S1*S3*nu^9*w-\
14256*P1*S1*nu^10*w-11664*P1*S1*nu^9*w^2+14904*P1*S3^3*nu^9-8550*P1*S3^2*nu^10-\
3402*P1*S3^2*nu^9*w-38448*P1*S3*nu^10*w+18468*P1*S3*nu^9*w^2+1134*P1*nu^10*w^2-\
5832*P1*nu^9*w^3-12150*P3^2*S1*S3*nu^9+13500*P3^2*S1*nu^10+6156*P3^2*S3*nu^10+
2916*P3^2*S3*nu^9*w-4050*P3^2*nu^10*w+2430*P3*S1^3*S3*nu^8+14904*P3*S1^3*nu^9+
2430*P3*S1^2*S3^2*nu^8+189*P3*S1^2*S3*nu^9-8550*P3*S1^2*nu^10-3402*P3*S1^2*nu^9
*w-14904*P3*S1*S3^2*nu^9+8550*P3*S1*S3*nu^10+3402*P3*S1*S3*nu^9*w-38448*P3*S1*
nu^10*w+18468*P3*S1*nu^9*w^2-14256*P3*S3*nu^10*w-11664*P3*S3*nu^9*w^2+1134*P3*
nu^10*w^2-5832*P3*nu^9*w^3+11664*S1^3*S3^2*nu^8-2052*S1^3*nu^10-23976*S1^3*nu^9
*w-2916*S1^3*nu^8*w^2+11664*S1^2*S3^3*nu^8-19332*S1^2*S3^2*nu^9+3888*S1^2*S3^2*
nu^8*w-2052*S1^2*S3*nu^10-23976*S1^2*S3*nu^9*w-2916*S1^2*S3*nu^8*w^2+9900*S1^2*
nu^10*w+7452*S1^2*nu^9*w^2-2052*S1*S3^2*nu^10-23976*S1*S3^2*nu^9*w-2916*S1*S3^2
*nu^8*w^2-13716*S1*S3*nu^10*w+5508*S1*S3*nu^9*w^2+12528*S1*nu^10*w^2+17496*S1*
nu^9*w^3-2052*S3^3*nu^10-23976*S3^3*nu^9*w-2916*S3^3*nu^8*w^2+9900*S3^2*nu^10*w
+7452*S3^2*nu^9*w^2+12528*S3*nu^10*w^2+17496*S3*nu^9*w^3+4860*nu^10*w^3+11664*
nu^9*w^4+3240*P1^2*P3*nu^9+2430*P1^2*S1*S3*nu^8-14904*P1^2*S1*nu^9-14715*P1^2*
S3*nu^9+8550*P1^2*nu^10+3402*P1^2*nu^9*w+3240*P1*P3^2*nu^9-21060*P1*P3*S1*S3*nu
^8-29808*P1*P3*S1*nu^9-29808*P1*P3*S3*nu^9+36000*P1*P3*nu^10+118584*P1*P3*nu^9*
w+11664*P1*S1^2*S3*nu^8-21789*P1*S1*S3^2*nu^8-19332*P1*S1*S3*nu^9+3888*P1*S1*S3
*nu^8*w+4104*P1*S1*nu^10+47952*P1*S1*nu^9*w+5832*P1*S1*nu^8*w^2-11664*P1*S3^3*
nu^8+19332*P1*S3^2*nu^9-3888*P1*S3^2*nu^8*w+14652*P1*S3*nu^10+137646*P1*S3*nu^9
*w-1944*P1*S3*nu^8*w^2-33516*P1*nu^10*w-9396*P1*nu^9*w^2+2430*P3^2*S1*S3*nu^8-\
14715*P3^2*S1*nu^9-14904*P3^2*S3*nu^9+8550*P3^2*nu^10+3402*P3^2*nu^9*w-11664*P3
*S1^3*nu^8-21789*P3*S1^2*S3*nu^8+19332*P3*S1^2*nu^9-3888*P3*S1^2*nu^8*w+11664*
P3*S1*S3^2*nu^8-19332*P3*S1*S3*nu^9+3888*P3*S1*S3*nu^8*w+14652*P3*S1*nu^10+
137646*P3*S1*nu^9*w-1944*P3*S1*nu^8*w^2+4104*P3*S3*nu^10+47952*P3*S3*nu^9*w+
5832*P3*S3*nu^8*w^2-33516*P3*nu^10*w-9396*P3*nu^9*w^2-3240*S1^3*S3^2*nu^7+9072*
S1^3*nu^9+29484*S1^3*nu^8*w-3240*S1^2*S3^3*nu^7+6048*S1^2*S3^2*nu^8-3240*S1^2*
S3^2*nu^7*w+9072*S1^2*S3*nu^9+29484*S1^2*S3*nu^8*w-2850*S1^2*nu^10-31716*S1^2*
nu^9*w+486*S1^2*nu^8*w^2+9072*S1*S3^2*nu^9+29484*S1*S3^2*nu^8*w+5130*S1*S3*nu^
10+79164*S1*S3*nu^9*w+9234*S1*S3*nu^8*w^2-15252*S1*nu^10*w-78003*S1*nu^9*w^2-\
26244*S1*nu^8*w^3+9072*S3^3*nu^9+29484*S3^3*nu^8*w-2850*S3^2*nu^10-31716*S3^2*
nu^9*w+486*S3^2*nu^8*w^2-15252*S3*nu^10*w-78003*S3*nu^9*w^2-26244*S3*nu^8*w^3+
22644*nu^10*w^2-6804*nu^9*w^3-5832*nu^8*w^4-16200*P1^2*P3*nu^8+11664*P1^2*S1*nu
^8-10125*P1^2*S3*nu^8-19332*P1^2*nu^9+3888*P1^2*nu^8*w-16200*P1*P3^2*nu^8+23328
*P1*P3*S1*nu^8+23328*P1*P3*S3*nu^8-98064*P1*P3*nu^9-40824*P1*P3*nu^8*w-3240*P1*
S1^2*S3*nu^7+17280*P1*S1*S3^2*nu^7+6048*P1*S1*S3*nu^8-3240*P1*S1*S3*nu^7*w-\
18144*P1*S1*nu^9-58968*P1*S1*nu^8*w+3240*P1*S3^3*nu^7-6048*P1*S3^2*nu^8+3240*P1
*S3^2*nu^7*w-64422*P1*S3*nu^9-162864*P1*S3*nu^8*w+10830*P1*nu^10+142596*P1*nu^9
*w+8262*P1*nu^8*w^2-10125*P3^2*S1*nu^8+11664*P3^2*S3*nu^8-19332*P3^2*nu^9+3888*
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10+142596*P3*nu^9*w+8262*P3*nu^8*w^2+324*S1^3*S3^2*nu^6-15876*S1^3*nu^8-15876*
S1^3*nu^7*w+324*S1^2*S3^3*nu^6+14652*S1^2*S3^2*nu^7-15876*S1^2*S3*nu^8-15876*S1
^2*S3*nu^7*w+12144*S1^2*nu^9+27702*S1^2*nu^8*w-7128*S1^2*nu^7*w^2-15876*S1*S3^2
*nu^8-15876*S1*S3^2*nu^7*w-32256*S1*S3*nu^9-167886*S1*S3*nu^8*w-7128*S1*S3*nu^7
*w^2+3800*S1*nu^10+97650*S1*nu^9*w+169533*S1*nu^8*w^2+11664*S1*nu^7*w^3-15876*
S3^3*nu^8-15876*S3^3*nu^7*w+12144*S3^2*nu^9+27702*S3^2*nu^8*w-7128*S3^2*nu^7*w^
2+3800*S3*nu^10+97650*S3*nu^9*w+169533*S3*nu^8*w^2+11664*S3*nu^7*w^3-15852*nu^
10*w-133200*nu^9*w^2-4860*nu^8*w^3-3240*P1^2*S1*nu^7+14040*P1^2*S3*nu^7+6048*P1
^2*nu^8-3240*P1^2*nu^7*w-6480*P1*P3*S1*nu^7-6480*P1*P3*S3*nu^7+68796*P1*P3*nu^8
-22680*P1*P3*nu^7*w+324*P1*S1^2*S3*nu^6-3024*P1*S1*S3^2*nu^6+14652*P1*S1*S3*nu^
7+31752*P1*S1*nu^8+31752*P1*S1*nu^7*w-324*P1*S3^3*nu^6-14652*P1*S3^2*nu^7+
106326*P1*S3*nu^8+64206*P1*S3*nu^7*w-56544*P1*nu^9-223290*P1*nu^8*w+7128*P1*nu^
7*w^2+14040*P3^2*S1*nu^7-3240*P3^2*S3*nu^7+6048*P3^2*nu^8-3240*P3^2*nu^7*w-324*
P3*S1^3*nu^6-3024*P3*S1^2*S3*nu^6-14652*P3*S1^2*nu^7+324*P3*S1*S3^2*nu^6+14652*
P3*S1*S3*nu^7+106326*P3*S1*nu^8+64206*P3*S1*nu^7*w+31752*P3*S3*nu^8+31752*P3*S3
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2*nu^8+11142*S1^2*nu^7*w+3240*S1^2*nu^6*w^2+13824*S1*S3^2*nu^7+3564*S1*S3^2*nu^
6*w+82026*S1*S3*nu^8+167346*S1*S3*nu^7*w-648*S1*S3*nu^6*w^2-27155*S1*nu^9-\
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*nu^8+11142*S3^2*nu^7*w+3240*S3^2*nu^6*w^2-27155*S3*nu^9-250524*S3*nu^8*w-\
166887*S3*nu^7*w^2+2660*nu^10+105084*nu^9*w+309708*nu^8*w^2+6804*nu^7*w^3+324*
P1^2*S1*nu^6-2700*P1^2*S3*nu^6+14652*P1^2*nu^7+648*P1*P3*S1*nu^6+648*P1*P3*S3*
nu^6+18504*P1*P3*nu^7-13230*P1*S1*S3*nu^6-27648*P1*S1*nu^7-7128*P1*S1*nu^6*w+
13230*P1*S3^2*nu^6-78174*P1*S3*nu^7+1836*P1*S3*nu^6*w+117534*P1*nu^8+145062*P1*
nu^7*w-7128*P1*nu^6*w^2-2700*P3^2*S1*nu^6+324*P3^2*S3*nu^6+14652*P3^2*nu^7+
13230*P3*S1^2*nu^6-13230*P3*S1*S3*nu^6-78174*P3*S1*nu^7+1836*P3*S1*nu^6*w-27648
*P3*S3*nu^7-7128*P3*S3*nu^6*w+117534*P3*nu^8+145062*P3*nu^7*w-7128*P3*nu^6*w^2-\
6156*S1^3*nu^6-324*S1^3*nu^5*w+3672*S1^2*S3^2*nu^5-6156*S1^2*S3*nu^6-324*S1^2*
S3*nu^5*w+5592*S1^2*nu^7-31338*S1^2*nu^6*w-6156*S1*S3^2*nu^6-324*S1*S3^2*nu^5*w
-108648*S1*S3*nu^7-80622*S1*S3*nu^6*w+81735*S1*nu^8+331443*S1*nu^7*w+75573*S1*
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S3*nu^8+331443*S3*nu^7*w+75573*S3*nu^6*w^2-20120*nu^9-291168*nu^8*w-358272*nu^7
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12162*S3^2*nu^6+17982*S3^2*nu^5*w-134505*S3*nu^7-239472*S3*nu^6*w-13770*S3*nu^5
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+1404*P3*S1*nu^5-2592*P3*S3*nu^5+55578*P3*nu^6-18738*P3*nu^5*w-108*S1^3*nu^4-\
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-75315*S3*nu^5-14112*S3*nu^4*w+132000*nu^6+169452*nu^5*w-4572*nu^4*w^2-7638*P1*
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*nu*w+S1+S3-48*nu+4), C3 = 1/2*(nu-1)^2*(11664*S1^3*S3*nu^10*w+11664*S1^2*S3^2*
nu^10*w+11664*S1*S3^3*nu^10*w-58320*P1*P3*S1^2*nu^10-58320*P1*P3*S1*S3*nu^10-\
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*S3^2*nu^10-11664*P1*S1*S3*nu^10*w-38880*P1*S3^3*nu^10-38880*P3*S1^3*nu^10-\
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*P1*S1*S3*nu^10+11664*P1*S1*S3*nu^9*w-30456*P1*S1*nu^10*w+48600*P1*S3^3*nu^9-\
54000*P1*S3^2*nu^10-62208*P1*S3*nu^10*w+11664*P1*nu^10*w^2+38880*P3^2*S1*nu^10-\
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*P1^2*nu^9*w-110160*P1*P3*S1*nu^9-110160*P1*P3*S3*nu^9+186624*P1*P3*nu^10+
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^8*w^2-57888*S1*nu^10*w-145800*S1*nu^9*w^2+51192*S3^3*nu^9+34992*S3^3*nu^8*w-\
20400*S3^2*nu^10-67716*S3^2*nu^9*w-57888*S3*nu^10*w-145800*S3*nu^9*w^2+45792*nu
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84240*P1*P3*S3*nu^8-412776*P1*P3*nu^9-46656*P1*S1^2*nu^8+87156*P1*S1*S3*nu^8-\
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239112*P3*S1*nu^8*w-46656*P3*S3^2*nu^8-25056*P3*S3*nu^9-85536*P3*S3*nu^8*w+
66000*P3*nu^10+306288*P3*nu^9*w+46656*P3*nu^8*w^2+12960*S1^3*S3*nu^7-66744*S1^3
*nu^8-5832*S1^3*nu^7*w+12960*S1^2*S3^2*nu^7-90936*S1^2*S3*nu^8+7128*S1^2*S3*nu^
7*w+67836*S1^2*nu^9+11016*S1^2*nu^8*w+12960*S1*S3^3*nu^7-90936*S1*S3^2*nu^8+
7128*S1*S3^2*nu^7*w-166824*S1*S3*nu^9-370224*S1*S3*nu^8*w+27200*S1*nu^10+324864
*S1*nu^9*w+244944*S1*nu^8*w^2-66744*S3^3*nu^8-5832*S3^3*nu^7*w+67836*S3^2*nu^9+
11016*S3^2*nu^8*w+27200*S3*nu^10+324864*S3*nu^9*w+244944*S3*nu^8*w^2-77568*nu^
10*w-245592*nu^9*w^2+69984*nu^8*w^3+46656*P1^2*nu^8+192456*P1*P3*nu^8+12960*P1*
S1^2*nu^7-69120*P1*S1*S3*nu^7+109296*P1*S1*nu^8+24624*P1*S1*nu^7*w-56160*P1*S3^
2*nu^7+454194*P1*S3*nu^8+44712*P1*S3*nu^7*w-302496*P1*nu^9-392256*P1*nu^8*w+
46656*P3^2*nu^8-56160*P3*S1^2*nu^7-69120*P3*S1*S3*nu^7+454194*P3*S1*nu^8+44712*
P3*S1*nu^7*w+12960*P3*S3^2*nu^7+109296*P3*S3*nu^8+24624*P3*S3*nu^7*w-302496*P3*
nu^9-392256*P3*nu^8*w-1296*S1^3*S3*nu^6+40068*S1^3*nu^7-1296*S1^2*S3^2*nu^6-\
18540*S1^2*S3*nu^7-65004*S1^2*nu^8+57996*S1^2*nu^7*w-1296*S1*S3^3*nu^6-18540*S1
*S3^2*nu^7+400896*S1*S3*nu^8+293760*S1*S3*nu^7*w-168920*S1*nu^9-675702*S1*nu^8*
w-145800*S1*nu^7*w^2+40068*S3^3*nu^7-65004*S3^2*nu^8+57996*S3^2*nu^7*w-168920*
S3*nu^9-675702*S3*nu^8*w-145800*S3*nu^7*w^2+19040*nu^10+440640*nu^9*w+459432*nu
^8*w^2-11664*nu^7*w^3-12960*P1^2*nu^7+48600*P1*P3*nu^7-1296*P1*S1^2*nu^6+12096*
P1*S1*S3*nu^6-138744*P1*S1*nu^7+10800*P1*S3^2*nu^6-240768*P1*S3*nu^7+530904*P1*
nu^8+177768*P1*nu^7*w-12960*P3^2*nu^7+10800*P3*S1^2*nu^6+12096*P3*S1*S3*nu^6-\
240768*P3*S1*nu^7-1296*P3*S3^2*nu^6-138744*P3*S3*nu^7+530904*P3*nu^8+177768*P3*
nu^7*w-11340*S1^3*nu^6+41580*S1^2*S3*nu^6-16062*S1^2*nu^7-40176*S1^2*nu^6*w+
41580*S1*S3^2*nu^6-463662*S1*S3*nu^7-91152*S1*S3*nu^6*w+428850*S1*nu^8+659934*
S1*nu^7*w+23328*S1*nu^6*w^2-11340*S3^3*nu^6-16062*S3^2*nu^7-40176*S3^2*nu^6*w+
428850*S3*nu^8+659934*S3*nu^7*w+23328*S3*nu^6*w^2-126200*nu^9-1006416*nu^8*w-\
355968*nu^7*w^2+1296*P1^2*nu^6-14904*P1*P3*nu^6+75600*P1*S1*nu^6+34290*P1*S3*nu
^6-431538*P1*nu^7-10800*P1*nu^6*w+1296*P3^2*nu^6+34290*P3*S1*nu^6+75600*P3*S3*
nu^6-431538*P3*nu^7-10800*P3*nu^6*w+1620*S1^3*nu^5-13068*S1^2*S3*nu^5+67314*S1^
2*nu^6+6480*S1^2*nu^5*w-13068*S1*S3^2*nu^5+276354*S1*S3*nu^6+10584*S1*S3*nu^5*w
-573180*S1*nu^7-305802*S1*nu^6*w+1620*S3^3*nu^5+67314*S3^2*nu^6+6480*S3^2*nu^5*
w-573180*S3*nu^7-305802*S3*nu^6*w+352200*nu^8+1166652*nu^7*w+80352*nu^6*w^2-\
17928*P1*S1*nu^5+3780*P1*S3*nu^5+141726*P1*nu^6-2376*P1*nu^5*w+3780*P3*S1*nu^5-\
17928*P3*S3*nu^5+141726*P3*nu^6-2376*P3*nu^5*w-108*S1^3*nu^4+1332*S1^2*S3*nu^4-\
44790*S1^2*nu^5+1332*S1*S3^2*nu^4-82890*S1*S3*nu^5+430305*S1*nu^6+57510*S1*nu^5
*w-108*S3^3*nu^4-44790*S3^2*nu^5+430305*S3*nu^6+57510*S3*nu^5*w-533820*nu^7-\
699408*nu^6*w+22680*nu^5*w^2+1656*P1*S1*nu^4-792*P1*S3*nu^4+6690*P1*nu^5-792*P3
*S1*nu^4+1656*P3*S3*nu^4+6690*P3*nu^5+12810*S1^2*nu^4+11430*S1*S3*nu^4-177300*
S1*nu^5-2808*S1*nu^4*w+12810*S3^2*nu^4-177300*S3*nu^5-2808*S3*nu^4*w+469980*nu^
6+180720*nu^5*w-6696*nu^4*w^2-14190*P1*nu^4-14190*P3*nu^4-1824*S1^2*nu^3-504*S1
*S3*nu^3+34710*S1*nu^4-108*S1*nu^3*w-1824*S3^2*nu^3+34710*S3*nu^4-108*S3*nu^3*w
-234600*nu^5+2592*nu^4*w+3144*P1*nu^3+3144*P3*nu^3+120*S1^2*nu^2-960*S1*nu^3+
120*S3^2*nu^2-960*S3*nu^3+55800*nu^4-8532*nu^3*w-240*P1*nu^2-240*P3*nu^2-855*S1
*nu^2-855*S3*nu^2-300*nu^3+1440*nu^2*w+160*S1*nu+160*S3*nu-2580*nu^2-120*nu*w-\
10*S1-10*S3+520*nu-40)/(-108*S1*S3*nu^6*w+540*P1*P3*nu^6+360*P1*S3*nu^6-108*P1*
nu^6*w+360*P3*S1*nu^6-108*P3*nu^6*w+228*S1*S3*nu^6+108*S1*S3*nu^5*w-216*S1*nu^6
*w-216*S3*nu^6*w+108*nu^6*w^2-450*P1*S3*nu^5+228*P1*nu^6+108*P1*nu^5*w-450*P3*
S1*nu^5+228*P3*nu^6+108*P3*nu^5*w-552*S1*S3*nu^5+136*S1*nu^6+486*S1*nu^5*w+136*
S3*nu^6+486*S3*nu^5*w-264*nu^6*w-216*nu^5*w^2+90*P1*S3*nu^4-552*P1*nu^5+90*P3*
S1*nu^4-552*P3*nu^5+432*S1*S3*nu^4-474*S1*nu^5-324*S1*nu^4*w-474*S3*nu^5-324*S3
*nu^4*w+76*nu^6+888*nu^5*w+108*nu^4*w^2+432*P1*nu^4+432*P3*nu^4-120*S1*S3*nu^3+
618*S1*nu^4+54*S1*nu^3*w+618*S3*nu^4+54*S3*nu^3*w-336*nu^5-1092*nu^4*w-120*P1*
nu^3-120*P3*nu^3+12*S1*S3*nu^2-371*S1*nu^3-371*S3*nu^3+588*nu^4+588*nu^3*w+12*
P1*nu^2+12*P3*nu^2+105*S1*nu^2+105*S3*nu^2-512*nu^3-132*nu^2*w-15*S1*nu-15*S3*
nu+228*nu^2+12*nu*w+S1+S3-48*nu+4)];
